Question

Evaluation of $\prod\limits_{n=1}^\infty(ne^{-n}+1)$

score 308 · Answer 1 · 2022-07-06 22:26:52

308

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Evaluation of $\prod\limits_{n=1}^\infty(ne^{-n}+1)$

Published on 06 Jul 2022 - 22:26

score 216 · Answer 2 · 2022-07-16 12:35:06

216

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A new infinite series for the minimum of the Gamma function?

Published on 16 Jul 2022 - 12:35

score 78 · Answer 3 · 2022-07-17 13:25:08

78

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Closed form for $\Gamma(n+\frac{2}{3})$

Published on 17 Jul 2022 - 13:25

score 91 · Answer 4 · 2022-07-18 14:49:52

91

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An evaluation of $\int_{-\infty}^\infty \int_{-\infty}^\infty \ln\left(\frac{\text{sech}(x+yi)}{x+yi}-1\right)dxdy$

Published on 18 Jul 2022 - 14:49

score 116 · Answer 5 · 2022-07-23 22:32:24

116

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Problem with Desmos and almost rational number

Published on 23 Jul 2022 - 22:32

score 58 · Answer 6 · 2022-07-27 03:38:35

58

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Alternative Initial Conditions and Particular Solutions

Published on 27 Jul 2022 - 3:38

score 15 · Answer 7 · 2022-08-02 16:48:48

15

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find constant in upper bound of exponential squence

Published on 02 Aug 2022 - 16:48

score 153 · Answer 8 · 2026-03-27 23:35:30

153

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Convergence value of the unique positive real root of ${^{m + 1}x} = {^{m}x} + 1$ as $m$ approaches infinity

Published on 27 Mar 2026 - 23:35

score 49 · Answer 9 · 2026-03-29 12:41:34

49

Views

Solve log equation

Published on 29 Mar 2026 - 12:41

score 152 · Answer 10 · 2022-08-22 20:39:22

152

Views

How to prove $\lim\limits_{x \to \infty} \frac{\pi\sqrt{x}}{\sin{(\frac{\pi}{\sqrt{x}} })} - x = \frac{\pi^2}{6}$?

Published on 22 Aug 2022 - 20:39

score 49 · Answer 11 · 2026-03-29 20:45:32

49

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Prove or (dis)prove that : $f\left(x\right)+f\left(\phi\right)<0$

Published on 29 Mar 2026 - 20:45

score 141 · Answer 12 · 2022-08-26 15:30:41

141

Views

Are $\cosh(1), \sinh(1), $ and $e^{1/r}-1 $ the only known constants with regular Engel expansions?

Published on 26 Aug 2022 - 15:30

score 48 · Answer 13 · 2022-09-04 11:49:34

48

Views

Show an integral inequality involving the golden ratio, $\zeta(2)$ and the gamma function.

Published on 04 Sep 2022 - 11:49

score 1.6k · Answer 14 · 2022-09-06 10:31:56

1.6k

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Conjecture: $\lim\limits_{x\to 0}(x!\,x!!\,x!!!\,x!!!!\cdots )^{-1/x}\stackrel?=e$

Published on 06 Sep 2022 - 10:31

score 134 · Answer 15 · 2022-09-08 09:53:07

134

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What is the limit $\lim_{x\to 0}\left(\frac{x!x!!!x!!!!!...}{x!!x!!!!x!!!!!!...}\right)^{-\frac{1}{x}}=^?$

Published on 08 Sep 2022 - 9:53

List Question

Evaluation of $\prod\limits_{n=1}^\infty(ne^{-n}+1)$

A new infinite series for the minimum of the Gamma function?

Closed form for $\Gamma(n+\frac{2}{3})$

An evaluation of $\int_{-\infty}^\infty \int_{-\infty}^\infty \ln\left(\frac{\text{sech}(x+yi)}{x+yi}-1\right)dxdy$

Problem with Desmos and almost rational number

Alternative Initial Conditions and Particular Solutions

find constant in upper bound of exponential squence

Convergence value of the unique positive real root of ${^{m + 1}x} = {^{m}x} + 1$ as $m$ approaches infinity

Solve log equation

How to prove $\lim\limits_{x \to \infty} \frac{\pi\sqrt{x}}{\sin{(\frac{\pi}{\sqrt{x}} })} - x = \frac{\pi^2}{6}$?

Prove or (dis)prove that : $f\left(x\right)+f\left(\phi\right)<0$

Are $\cosh(1), \sinh(1), $ and $e^{1/r}-1 $ the only known constants with regular Engel expansions?

Show an integral inequality involving the golden ratio, $\zeta(2)$ and the gamma function.

Conjecture: $\lim\limits_{x\to 0}(x!\,x!!\,x!!!\,x!!!!\cdots )^{-1/x}\stackrel?=e$

What is the limit $\lim_{x\to 0}\left(\frac{x!x!!!x!!!!!...}{x!!x!!!!x!!!!!!...}\right)^{-\frac{1}{x}}=^?$

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